Here's the port of Charleston vessel schedule. It shows a list of vessels currently in port and CH is not there, yet. Down below you will see that she is due into port today. Keep an eye on this schedule to see if it is updated with her arrival. Someone could also try calling the port general info number and asking. I have done that with port Hueneme and they've been helpful. With security these days, Charleston may or may not be helpful, but you could try.
http://www.port-of-charleston.com/vessel_schedule.asp